Abstract

The significance of scale factors and cascade of optical fractional Fourier transform is emphasized. Exact and cascadable fractional Fourier transforms in practical applications mandate that the image scale be the reciprocal of the scale of the input plane controlled by the optical setup. The practical setup of the optical fractional Fourier transform must be without any quadratic phase term at the spectrum plane.

© 1997 Optical Society of America

Scaled fractional Fourier transform and its optical implementation

Jianwen Hua, Liren Liu, and Guoqiang Li
Appl. Opt. 36(32) 8490-8492 (1997)

Extended fractional Fourier transforms

Jianwen Hua, Liren Liu, and Guoqiang Li
J. Opt. Soc. Am. A 14(12) 3316-3322 (1997)

Optical correlation based on the fractional Fourier transform

Sergio Granieri, Ricardo Arizaga, and Enrique E. Sicre
Appl. Opt. 36(26) 6636-6645 (1997)

Sensitivity of the fractional Fourier transform to parameters and its application in optical measurement

Zhiping Jiang, Qisheng Lu, and Yijun Zhao
Appl. Opt. 36(32) 8455-8458 (1997)

Cascading the multiple stages of optical fractional Fourier transforms under different variable scales

Shutian Liu, Jie Wu, and Chunfei Li
Opt. Lett. 20(12) 1415-1417 (1995)